374305920 has 128 divisors (see below), whose sum is σ = 1202653440. Its totient is φ = 99016704.

The previous prime is 374305903. The next prime is 374305961. The reversal of 374305920 is 29503473.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262329 + ... + 263751.

It is an arithmetic number, because the mean of its divisors is an integer number (9395730).

Almost surely, 2^374305920 is an apocalyptic number.

374305920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 374305920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601326720).

374305920 is an abundant number, since it is smaller than the sum of its proper divisors (828347520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

374305920 is a wasteful number, since it uses less digits than its factorization.

374305920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 374305920 is about 19346.9873623776. The cubic root of 374305920 is about 720.6796052350.

The spelling of 374305920 in words is "three hundred seventy-four million, three hundred five thousand, nine hundred twenty".